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Coupled fixed point theorems in partially ordered metric spaces

100%

Rao N. S. , Kalyani K.

Fasciculi Mathematici

2020

tom nr 64

77--89

This paper deals with some coupled fixed point theorems for a mapping with mixed monotone property and satisfying certain generalized rational contraction in a partially ordered metric space. Also, the result for the existence and uniqueness of a coupled fixed point to the map is given under ordered relation in a space. These results generalize and extend some existing results in the literature.

FG-coupled fixed point theorems for contractive type mappings in partially ordered metric spaces

75%

Karichery D. , Pulickakunnel S.

Journal of Mathematics and Applications

2018

tom Vol. 41

157--170

In this paper we prove FG-coupled fixed point theorems for Kannan, Reich and Chatterjea type mappings in partially ordered complete metric spaces using mixed monotone property.

Notes on multidimensional fixed-point theorems

63%

Akhadkulov H. , Noorani S. M. , Saaban A. B. , Alipiah F. M. , Alsamir H.

Demonstratio Mathematica

2017

tom Vol. 50, nr 1

360--374

In this paper we prove the existence and uniqueness of coincident (fixed) points for nonlinear mappings of any number of arguments under a (ψ ,θ, φ)-weak contraction condition without O-compatibility. The obtained results extend, improve and generalize some well-known results in the literature to be discussed below. Moreover, we present an example to show the efficiency of our results.